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Research Papers: Fluid-Structure Interaction

Transient Heat Transfer of a Hollow Cylinder Subjected to Periodic Boundary Conditions

[+] Author and Article Information
Yujia Sun

School of Energy and Power Engineering,
Nanjing University of Science and Technology,
Nanjing 210094, China

Xiaobing Zhang

School of Energy and Power Engineering,
Nanjing University of Science and Technology,
Nanjing 210094, China
e-mail: zhangxb680504@163.com

1Corresponding author.

Contributed by the Pressure Vessel and Piping Division of ASME for publication in the JOURNAL OF PRESSURE VESSEL TECHNOLOGY. Manuscript received October 12, 2014; final manuscript received February 2, 2015; published online February 27, 2015. Assoc. Editor: Jong Chull Jo.

J. Pressure Vessel Technol 137(5), 051303 (Oct 01, 2015) (10 pages) Paper No: PVT-14-1165; doi: 10.1115/1.4029757 History: Received October 12, 2014; Revised February 02, 2015; Online February 27, 2015

The purpose of this paper is to study the transient temperature responses of a hollow cylinder subjected to periodic boundary conditions, which comprises with a short heating period (a few milliseconds) and a relative long cooling period (a few seconds). During the heating process, the inner surface is under complex convection heat transfer condition, which is not so easy to approximate. This paper first calculated the gas temperature history and the convective heat transfer coefficient history between the gas flow and the inner surface and then they were applied to the inner surface as boundary conditions. Finite element analysis was used to solve the transient heat transfer equations of the hollow cylinder. Results show that the inner surface is under strong thermal impact and large temperature gradient occurs in the region adjacent to the inner surface. Sometimes chromium plating and water cooling are used to relief the thermal shock of a tube under such thermal conditions. The effects of these methods are analyzed, and it indicates that the chromium plating can reduce the maximum temperature of the inner surface for the first cycle during periodic heating and the water cooling method can reduce the growth trend of the maximum temperature for sustained conditions. We also investigate the effects of different parameters on the maximum temperature of the inner surface, like chromium thickness, water velocity, channel diameter, and number of cooling channels.

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References

Lawton, B., 2001, “Temperature and Heat Transfer at the Commencement of Rifling of a 155 mm Gun,” 19th International Symposium of Ballistics 2001, Interlaken, Switzerland.
Boisson, D., Légeret, G., and Barthélémy, J. F., 2001, “Experimental Investigation of Heat Transfer in a 120 mm Testing Gun Barrel Based on a Space Marching Finite Difference Algorithm for the Inverse Conduction Method,” 19th International Symposium of Ballistics 2001, Interlaken, Switzerland.
Johnston, I. A., 2005, “Understanding and Predicting Gun Barrel Erosion,” Report No. DSTO-TR-1757.
Cooper, L. Y., 1977, “Temperature of a Cylindrical Cavity Wall Heated by a Periodic Flux,” Int. J. Heat Mass Transfer, 20(5), pp. 527–534. [CrossRef]
Lu, X., Tervola, P., and Viljanen, M., 2006, “Transient Analytical Solution to Heat Conduction in Composite Circular Cylinder,” Int. J. Heat Mass Transfer, 49(1), pp. 341–348. [CrossRef]
Fan, S., and Barber, J. R., 2002, “Solution of Periodic Heating Problems by the Transfer Matrix Method,” Int. J. Heat Mass Transfer, 45(5), pp. 1155–1158. [CrossRef]
Özışık, G., Genç, M. S., and Yapıcı, H., 2012, “Transient Thermal Stress Distribution in a Circular Pipe Heated Externally With a Periodically Moving Heat Source,” Int. J. Press. Vessels Pip., 99–100, pp. 9–22. [CrossRef]
Lee, Z., 2005, “Hybrid Numerical Method Applied to 3-D Multilayered Hollow Cylinder With Periodic loading Conditions,” Appl. Math. Comput., 166(1), pp. 95–117. [CrossRef]
Wang, X., 1995, “Thermal Shock in a Hollow Cylinder Caused by Rapid Arbitrary Heating,” J. Sound Vib., 183(5), pp. 899–906. [CrossRef]
Yun, Y., Jang, I., and Tang, L., 2009, “Thermal Stress Distribution in Thick Wall Cylinder Under Thermal Shock,” J. Press. Vessel Technol., 131(2), p. 021212. [CrossRef]
Segall, A. E., 2001, “Thermoelastic Analysis of Thick-Walled Vessels Subjected to Transient Thermal Loading,” J. Press. Vessel Technol., 123(1), pp. 146–149. [CrossRef]
Segall, A. E., 2003, “Transient Analysis of Thick-Walled Piping Under Polynomial Thermal Loading,” Nucl. Eng. Des., 226(3), pp. 183–191. [CrossRef]
Yapici, H., Özişik, G., and Genç, M. S., 2010, “Non-Uniform Temperature Gradients and Thermal Stresses Produced by a Moving Heat Flux Applied on a Hollow Sphere,” Sadhana, 35(2), pp. 195–213. [CrossRef]
Yapici, H., Genç, M. S., and Özişik, G., 2008, “Transient Temperature and Thermal Stress Distributions in a Hollow Disk Subjected to a Moving Uniform Heat Source,” J. Therm. Stresses, 31(5), pp. 476–493. [CrossRef]
Yapici, H., and Baştürk, G., 2006, “Reduction of Thermally Induced Stress in a Solid Disk Heated With Radially Periodic Expanding and Contracting Ring Heat Flux,” J. Mater. Process. Technol., 180(1), pp. 279–290. [CrossRef]
Moulik, P. N., Yang, H., and Chandrasekar, S., 2001, “Simulation of Thermal Stresses Due to Grinding,” Int. J. Mech. Sci., 43(3), pp. 831–851. [CrossRef]
Sen, S., Aksakal, B., and Ozel, A., 2000, “Transient and Residual Thermal Stresses in Quenched Cylindrical Bodies,” Int. J. Mech. Sci., 42(10), pp. 2013–2029. [CrossRef]
Mahdi, M., and Zhang, L., 1997, “Applied Mechanics in Grinding-V. Thermal Residual Stresses,” Int. J. Mach. Tools Manuf., 37(5), pp. 619–633. [CrossRef]
Cao, Y., and Faghri, A., 1991, “Transient Two-Dimensional Compressible Analysis for High-Temperature Heat Pipes With Pulsed Heat Input,” Numer. Heat Transfer, Part A, 18(4), pp. 483–502. [CrossRef]
Mistry, P. R., Thakkar, F. M., De, S., and DasGupta, S., 2010, “Experimental Validation of a Two-Dimensional Model of the Transient and Steady-State Characteristics of a Wicked Heat Pipe,” Exp. Heat Transfer, 23(4), pp. 333–348. [CrossRef]
Copley, J. A., and Thomas, W. C., 1974, “Two-Dimensional Transient Temperature Distribution in Cylindrical Bodies With Pulsating Time and Space-Dependent Boundary Conditions,” ASME J. Heat Transfer, 96(3), pp. 300–306. [CrossRef]
Heiser, R., Seiler, F., and Zimmerman, K., 1993, “Computational Methods and Measurements of Heat Transfer to Gun Barrels With and Without Coatings,” 14th International Symposium on Ballistics 1993, Quebec, Canada.
Bass, M., and De Swardt, R. R., 2006, “Laboratory Heat Transfer Experiments on a 155 mm Compound Gun Tube With Full Length Integral Mid-Wall Cooling Channels,” J. Press. Vessel Technol., 128(2), pp. 279–284. [CrossRef]
de Swardt, R. R., and Andrews, T. D., 2006, “Stress Analysis of Autofrettaged Midwall Cooled Compound Gun Tubes,” J. Press. Vessel Technol., 128(2), pp. 201–207. [CrossRef]
Sun, Y., and Zhang, X., 2015, “Heat Transfer Analysis of a Circular Pipe Heated Internally With a Cyclic Moving Heat Source,” Int. J. Therm. Sci., 90, pp. 279–289. [CrossRef]
Lawton, B., 2001, “Thermo-Chemical Erosion in Gun Barrels,” Wear, 251(1), pp. 827–838. [CrossRef]
Conroy, P. J., 1991, “Gun Tube Heating,” Report No. BRL-TR-3300.
Gerber, N., and Bundy, M., 1992, “Effect of Variable Thermal Properties on Gun Tube Heating,” Report No. BRL-MR-3984.
Nelson, C. W., and Ward, J. R., 1981, “Calculation of Heat Transfer to the Gun Barrel Wall,” Report No. ARBRL-MR-03094.
Weinacht, P., and Conroy, P., 1996, “A Numerical Method for Predicting Thermal Erosion in Gun Tubes,” Report No. ARL-TR-1156.
Chen, T., Liu, C., Jang, H., and Tuan, P., 2007, “Inverse Estimation of Heat Flux and Temperature in Multi-Layer Gun Barrel,” Int. J. Heat Mass Transfer, 50(11), pp. 2060–2068. [CrossRef]
Değirmenci, E., and Hüsnü Dirikolu, M., 2012, “A Thermochemical Approach for the Determination of Convection Heat Transfer Coefficients in a Gun Barrel,” Appl. Therm. Eng., 37, pp. 275–279. [CrossRef]
Jin, Z., 2004, Interior Ballistics of Guns, Beijing University of Technology Press, Beijing.
Incropera, F. P., 2011, Fundamentals of Heat and Mass Transfer, John Wiley & Sons, Hoboken, NJ.
Chen, Y., Song, Q., and Wang, J., 2006, “New Technologies to Extend the Erosion Life of Gun Barrel,” Acta Armamentarii, 27(2), pp. 330–334. [CrossRef]

Figures

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Fig. 1

Schematic of the cross section with water cooling channels and chromium coating (not to scale)

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Fig. 2

Typical heat flux variations with time of the inner surface: (a) over 60 s and (b) during the interior ballistics process (heating period)

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Fig. 4

Grid settings for calculation of temperature field of the tube: (a) without cooling channel and (b) with cooling channel

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Fig. 3

(a) Temperature history and (b) convective heat transfer coefficient history of combustion gas during the interior ballistics period

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Fig. 5

Validation of the FEM simulations

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Fig. 6

Transient temperature history of the inner surface and outer surface for 20 rounds under natural cooling

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Fig. 7

Temperature trend of the inner surface for 20 rounds: (a) Maximum temperature and (b) minimum temperature

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Fig. 8

Temperature history of the outer surface for 20 rounds

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Fig. 9

Radial temperature profile for different cooling methods: (a)–(c) at a depth of 2 mm and (d) through the thickness of the tube

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Fig. 10

Temperature distributions at some time (at the end of 5th round, 15th round, 20th round, and 25th round): (a) pure steel and (b) with water cooling channels

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Fig. 11

Heat flux variations of the inner surface with round number

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Fig. 13

Maximum temperature variations with round number under different cooling parameters: (a) water velocity; (b) diameter of channels; and (c) number of cooling channels

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Fig. 12

Maximum temperature variations with round number under different chromium layer thicknesses

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